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Rapid Evaluation of Newtonian Potentials on Planar Domains

Rapid Evaluation of Newtonian Potentials on Planar Domains

.The accurate and efficient evaluation of Newtonian potentials over general two-dimensional domains is important for the numerical solution of Poisson's equation and volume integral equations. In this paper, we present a simple and efficient high-order algorithm for computing the Newtonian potential over a planar domain discretized by an unstructured mesh. …